[1] Aktaş, R., Çekim, B. and C¸ evik, A., Extended Jacobi matrix polynomials. Util. Math. 92
(2013), 47-64.
[2] Altın, A. and Çekim, B., Generating matrix functions for Chebyshev matrix polynomials of
the second kind. Hacet. J. Math. Stat. 41 (2012), no. 1, 25–32.
[3] Altın, A. and Çekim, B., Some properties associated with Hermite matrix polynomials. Util.
Math. 88 (2012), 171-181.
[4] Batahan, R.S., A new extension of Hermite matrix polynomials and its applications. Linear
Algebra Appl. 419 (2006), 82–92.
[5] Çekim, B., New kinds of matrix polynomials. Miskolc Math. Notes 14 (2013), no. 3, 817-826.
[6] Çekim, B. and Altın, A., New matrix formulas for Laguerre matrix polynomials. Journal of
Classical Analysis 3 (2013), no. 1, 59-67.
[7] Çekim, B., Altın, A. and Akta¸s, R., Some relations satisfied by orthogonal matrix polynomials.
Hacet. J. Math. Stat. 40 (2011), no. 2, 241-253.
[8]Çevik, A., Multivariable construction of extended Jacobi matrix polynomials. J. Inequal.
Spec. Funct. 4 (2013), no. 3, 6-21.
[9] Defez, E. and Jodar, L., Some applications of the Hermite matrix polynomials series expansions.
J. Comp. Appl. Math. 99 (1998), 105-117.
[10] Defez, E. and Jodar, L., Chebyshev matrix polynomials and second order matrix differential
equations. Util. Math. 61 (2002), 107-123.
[11] Defez, E., Jodar, L. and Law, A., Jacobi matrix differential equation, polynomial solutions
and their properties. Comput. Math. Appl. 48 (2004), 789-803.
[12] Defez, E., Jodar, L., Law, A. and Ponsoda, E., Three-term recurrences and matrix orthogonal
polynomials. Util. Math. 57 (2000), 129-146.
[13] Defez, E., Hervas, A., Law, A., Villanueva-Oller, J. and Villanueva, R.J., Progressive transmission
of images: PC-based computations, using orthogonal matrix polynomials. Mathl.
Comput. Modelling 32 (2000), 1125-1140.
[14] Dunford, N. and Schwartz, J., Linear Operators. Vol. I, Interscience, New York, 1957.
[15] Grünbaum, F.A., Pacharoni, I. and Tirao, J.A., Matrix valued orthogonal polynomials of the
Jacobi type. Indag. Math. (N.S.) 14 (2003), no. 3-4, 353-366.
[16] Jodar, L. and Company, R., Hermite matrix polynomials and second order matrix differential
equations. J. Approx. Theory Appl. 12 (1996), no. 2, 20-30.
[17] Jodar, L., Company, R. and Navarro, E., Laguerre matrix polynomials and systems of second
order differential equations. Appl. Num. Math. 15 (1994), 53-63.
[18] Jodar, L., Company, R. and Ponsoda, E., Orthogonal matrix polynomials and systems of
second order differential equations. Differ. Equ. Dyn. Syst. 3 (1995), no.3, 269-288.
[19] Jodar, L. and Cort´es, J.C., Closed form general solution of the hypergeometric matrix differential
equation. Math. Comput. Modelling 32 (2000), 1017-1028.
[20] Jodar, L. and Defez, E., A connection between Laguerre’s and Hermite’s matrix polynomials.
Appl. Math. Lett. 11 (1998), no. 1, 13-17.
[21] Jodar, L. and Sastre, J., On Laguerre matrix polynomials. Util. Math. 53 (1998), 37-48.
[22] Sayyed, K.A.M., Metwally, M.S. and Batahan, R.S., On generalized Hermite matrix polynomials.
Electron. J. Linear Algebra 10 (2003), 272-279.
[23] Sayyed, K.A.M., Metwally, M.S. and Batahan, R.S., Gegenbauer matrix polynomials and
second order matrix differential equations. Divulg. Mat. 12 (2004), 101-115.
[24] Taşdelen, F., Çekim, B. and Aktaş, R., On a multivariable extension of Jacobi matrix polynomials.
Comput. Math. Appl. 61 (2011), no. 9, 2412-2423.
A NOTE ON LAGUERRE MATRIX POLYNOMIALS
Year 2015,
Volume: 3 Issue: 2, 54 - 57, 30.10.2015
[1] Aktaş, R., Çekim, B. and C¸ evik, A., Extended Jacobi matrix polynomials. Util. Math. 92
(2013), 47-64.
[2] Altın, A. and Çekim, B., Generating matrix functions for Chebyshev matrix polynomials of
the second kind. Hacet. J. Math. Stat. 41 (2012), no. 1, 25–32.
[3] Altın, A. and Çekim, B., Some properties associated with Hermite matrix polynomials. Util.
Math. 88 (2012), 171-181.
[4] Batahan, R.S., A new extension of Hermite matrix polynomials and its applications. Linear
Algebra Appl. 419 (2006), 82–92.
[5] Çekim, B., New kinds of matrix polynomials. Miskolc Math. Notes 14 (2013), no. 3, 817-826.
[6] Çekim, B. and Altın, A., New matrix formulas for Laguerre matrix polynomials. Journal of
Classical Analysis 3 (2013), no. 1, 59-67.
[7] Çekim, B., Altın, A. and Akta¸s, R., Some relations satisfied by orthogonal matrix polynomials.
Hacet. J. Math. Stat. 40 (2011), no. 2, 241-253.
[8]Çevik, A., Multivariable construction of extended Jacobi matrix polynomials. J. Inequal.
Spec. Funct. 4 (2013), no. 3, 6-21.
[9] Defez, E. and Jodar, L., Some applications of the Hermite matrix polynomials series expansions.
J. Comp. Appl. Math. 99 (1998), 105-117.
[10] Defez, E. and Jodar, L., Chebyshev matrix polynomials and second order matrix differential
equations. Util. Math. 61 (2002), 107-123.
[11] Defez, E., Jodar, L. and Law, A., Jacobi matrix differential equation, polynomial solutions
and their properties. Comput. Math. Appl. 48 (2004), 789-803.
[12] Defez, E., Jodar, L., Law, A. and Ponsoda, E., Three-term recurrences and matrix orthogonal
polynomials. Util. Math. 57 (2000), 129-146.
[13] Defez, E., Hervas, A., Law, A., Villanueva-Oller, J. and Villanueva, R.J., Progressive transmission
of images: PC-based computations, using orthogonal matrix polynomials. Mathl.
Comput. Modelling 32 (2000), 1125-1140.
[14] Dunford, N. and Schwartz, J., Linear Operators. Vol. I, Interscience, New York, 1957.
[15] Grünbaum, F.A., Pacharoni, I. and Tirao, J.A., Matrix valued orthogonal polynomials of the
Jacobi type. Indag. Math. (N.S.) 14 (2003), no. 3-4, 353-366.
[16] Jodar, L. and Company, R., Hermite matrix polynomials and second order matrix differential
equations. J. Approx. Theory Appl. 12 (1996), no. 2, 20-30.
[17] Jodar, L., Company, R. and Navarro, E., Laguerre matrix polynomials and systems of second
order differential equations. Appl. Num. Math. 15 (1994), 53-63.
[18] Jodar, L., Company, R. and Ponsoda, E., Orthogonal matrix polynomials and systems of
second order differential equations. Differ. Equ. Dyn. Syst. 3 (1995), no.3, 269-288.
[19] Jodar, L. and Cort´es, J.C., Closed form general solution of the hypergeometric matrix differential
equation. Math. Comput. Modelling 32 (2000), 1017-1028.
[20] Jodar, L. and Defez, E., A connection between Laguerre’s and Hermite’s matrix polynomials.
Appl. Math. Lett. 11 (1998), no. 1, 13-17.
[21] Jodar, L. and Sastre, J., On Laguerre matrix polynomials. Util. Math. 53 (1998), 37-48.
[22] Sayyed, K.A.M., Metwally, M.S. and Batahan, R.S., On generalized Hermite matrix polynomials.
Electron. J. Linear Algebra 10 (2003), 272-279.
[23] Sayyed, K.A.M., Metwally, M.S. and Batahan, R.S., Gegenbauer matrix polynomials and
second order matrix differential equations. Divulg. Mat. 12 (2004), 101-115.
[24] Taşdelen, F., Çekim, B. and Aktaş, R., On a multivariable extension of Jacobi matrix polynomials.
Comput. Math. Appl. 61 (2011), no. 9, 2412-2423.
Çevik, A., & Altın, A. (2015). A NOTE ON LAGUERRE MATRIX POLYNOMIALS. Mathematical Sciences and Applications E-Notes, 3(2), 54-57. https://doi.org/10.36753/mathenot.421331
AMA
Çevik A, Altın A. A NOTE ON LAGUERRE MATRIX POLYNOMIALS. Math. Sci. Appl. E-Notes. October 2015;3(2):54-57. doi:10.36753/mathenot.421331
Chicago
Çevik, Ali, and Abdullah Altın. “A NOTE ON LAGUERRE MATRIX POLYNOMIALS”. Mathematical Sciences and Applications E-Notes 3, no. 2 (October 2015): 54-57. https://doi.org/10.36753/mathenot.421331.
EndNote
Çevik A, Altın A (October 1, 2015) A NOTE ON LAGUERRE MATRIX POLYNOMIALS. Mathematical Sciences and Applications E-Notes 3 2 54–57.
IEEE
A. Çevik and A. Altın, “A NOTE ON LAGUERRE MATRIX POLYNOMIALS”, Math. Sci. Appl. E-Notes, vol. 3, no. 2, pp. 54–57, 2015, doi: 10.36753/mathenot.421331.
ISNAD
Çevik, Ali - Altın, Abdullah. “A NOTE ON LAGUERRE MATRIX POLYNOMIALS”. Mathematical Sciences and Applications E-Notes 3/2 (October 2015), 54-57. https://doi.org/10.36753/mathenot.421331.
JAMA
Çevik A, Altın A. A NOTE ON LAGUERRE MATRIX POLYNOMIALS. Math. Sci. Appl. E-Notes. 2015;3:54–57.
MLA
Çevik, Ali and Abdullah Altın. “A NOTE ON LAGUERRE MATRIX POLYNOMIALS”. Mathematical Sciences and Applications E-Notes, vol. 3, no. 2, 2015, pp. 54-57, doi:10.36753/mathenot.421331.
Vancouver
Çevik A, Altın A. A NOTE ON LAGUERRE MATRIX POLYNOMIALS. Math. Sci. Appl. E-Notes. 2015;3(2):54-7.